{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:UI4DQLKBFVX47JQQQQJAGFZLTF","short_pith_number":"pith:UI4DQLKB","canonical_record":{"source":{"id":"quant-ph/0210003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-01T09:51:30Z","cross_cats_sorted":[],"title_canon_sha256":"2331abb5f3291fb239dc936e57ef0d77ca916d04563a55038c1aa9b664ea43e7","abstract_canon_sha256":"912ce9581a368b1aae6bb7047770867bde0b49fd4071b5bf597763f892de91e4"},"schema_version":"1.0"},"canonical_sha256":"a238382d412d6fcfa610841203172b994f81f4de02bbc654b6b3d59e2e9caa1e","source":{"kind":"arxiv","id":"quant-ph/0210003","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0210003","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0210003v1","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0210003","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"pith_short_12","alias_value":"UI4DQLKBFVX4","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"pith_short_16","alias_value":"UI4DQLKBFVX47JQQ","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"pith_short_8","alias_value":"UI4DQLKB","created_at":"2026-07-04T14:46:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:UI4DQLKBFVX47JQQQQJAGFZLTF","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0210003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-01T09:51:30Z","cross_cats_sorted":[],"title_canon_sha256":"2331abb5f3291fb239dc936e57ef0d77ca916d04563a55038c1aa9b664ea43e7","abstract_canon_sha256":"912ce9581a368b1aae6bb7047770867bde0b49fd4071b5bf597763f892de91e4"},"schema_version":"1.0"},"canonical_sha256":"a238382d412d6fcfa610841203172b994f81f4de02bbc654b6b3d59e2e9caa1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:46:01.781256Z","signature_b64":"mq6navP0UV/fYhCj/GWglwN50hoOuFK31t3PIVeLUxCYQYDu/0+A1lG8sJuOEI3xE33rd6ijBCR/o5g0dhoeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a238382d412d6fcfa610841203172b994f81f4de02bbc654b6b3d59e2e9caa1e","last_reissued_at":"2026-07-04T14:46:01.780893Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:46:01.780893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0210003","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:46:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CGVbWAK2vD4aj7bLq9LCdH4ugYH7jVASPV8prhGpTiEJ3jY2IoqLOMMawUqWNWuCX26d5Kk5wXm2LMICrp9sAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:03:35.657687Z"},"content_sha256":"dc668c049a0f7e0c92b14a70baa392c30e2bb29c3287c9a0938381dfa6f00305","schema_version":"1.0","event_id":"sha256:dc668c049a0f7e0c92b14a70baa392c30e2bb29c3287c9a0938381dfa6f00305"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:UI4DQLKBFVX47JQQQQJAGFZLTF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical and numerical solution of coupled KdV-MKdV system","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Halim, S. Kshevetskii, S. Leble","submitted_at":"2002-10-01T09:51:30Z","abstract_excerpt":"The matrix 2x2 spectral differential equation of the second order is considered on x in ($-\\infty,+\\infty$). We establish elementary Darboux transformations covariance of the problem and analyze its combinations. We select a second covariant equation to form Lax pair of a coupled KdV-MKdV system. The sequence of the elementary Darboux transformations of the zero-potential seed produce two-parameter solution for the coupled KdV-MKdV system with reductions. We show effects of parameters on the resulting solutions (reality, singularity). A numerical method for general coupled KdV-MKdV system is i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0210003","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0210003/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:46:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h7Y6jZINZbua5v4xyv7UcURGzIqFnRnZysfTHALCtLDm8D96ry+5xX/cQuSKJ3jfcgmjINzGzYIYa1LjtfNcBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:03:35.658127Z"},"content_sha256":"351eda3213c28b768ae765c3f18ed8312c43d97c64bf10bba9e632d47a22217c","schema_version":"1.0","event_id":"sha256:351eda3213c28b768ae765c3f18ed8312c43d97c64bf10bba9e632d47a22217c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UI4DQLKBFVX47JQQQQJAGFZLTF/bundle.json","state_url":"https://pith.science/pith/UI4DQLKBFVX47JQQQQJAGFZLTF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UI4DQLKBFVX47JQQQQJAGFZLTF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T15:03:35Z","links":{"resolver":"https://pith.science/pith/UI4DQLKBFVX47JQQQQJAGFZLTF","bundle":"https://pith.science/pith/UI4DQLKBFVX47JQQQQJAGFZLTF/bundle.json","state":"https://pith.science/pith/UI4DQLKBFVX47JQQQQJAGFZLTF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UI4DQLKBFVX47JQQQQJAGFZLTF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:UI4DQLKBFVX47JQQQQJAGFZLTF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"912ce9581a368b1aae6bb7047770867bde0b49fd4071b5bf597763f892de91e4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-01T09:51:30Z","title_canon_sha256":"2331abb5f3291fb239dc936e57ef0d77ca916d04563a55038c1aa9b664ea43e7"},"schema_version":"1.0","source":{"id":"quant-ph/0210003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0210003","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0210003v1","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0210003","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"pith_short_12","alias_value":"UI4DQLKBFVX4","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"pith_short_16","alias_value":"UI4DQLKBFVX47JQQ","created_at":"2026-07-04T14:46:01Z"},{"alias_kind":"pith_short_8","alias_value":"UI4DQLKB","created_at":"2026-07-04T14:46:01Z"}],"graph_snapshots":[{"event_id":"sha256:351eda3213c28b768ae765c3f18ed8312c43d97c64bf10bba9e632d47a22217c","target":"graph","created_at":"2026-07-04T14:46:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0210003/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The matrix 2x2 spectral differential equation of the second order is considered on x in ($-\\infty,+\\infty$). We establish elementary Darboux transformations covariance of the problem and analyze its combinations. We select a second covariant equation to form Lax pair of a coupled KdV-MKdV system. The sequence of the elementary Darboux transformations of the zero-potential seed produce two-parameter solution for the coupled KdV-MKdV system with reductions. We show effects of parameters on the resulting solutions (reality, singularity). A numerical method for general coupled KdV-MKdV system is i","authors_text":"A. Halim, S. Kshevetskii, S. Leble","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-10-01T09:51:30Z","title":"Analytical and numerical solution of coupled KdV-MKdV system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0210003","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dc668c049a0f7e0c92b14a70baa392c30e2bb29c3287c9a0938381dfa6f00305","target":"record","created_at":"2026-07-04T14:46:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"912ce9581a368b1aae6bb7047770867bde0b49fd4071b5bf597763f892de91e4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-10-01T09:51:30Z","title_canon_sha256":"2331abb5f3291fb239dc936e57ef0d77ca916d04563a55038c1aa9b664ea43e7"},"schema_version":"1.0","source":{"id":"quant-ph/0210003","kind":"arxiv","version":1}},"canonical_sha256":"a238382d412d6fcfa610841203172b994f81f4de02bbc654b6b3d59e2e9caa1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a238382d412d6fcfa610841203172b994f81f4de02bbc654b6b3d59e2e9caa1e","first_computed_at":"2026-07-04T14:46:01.780893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:46:01.780893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mq6navP0UV/fYhCj/GWglwN50hoOuFK31t3PIVeLUxCYQYDu/0+A1lG8sJuOEI3xE33rd6ijBCR/o5g0dhoeDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:46:01.781256Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0210003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc668c049a0f7e0c92b14a70baa392c30e2bb29c3287c9a0938381dfa6f00305","sha256:351eda3213c28b768ae765c3f18ed8312c43d97c64bf10bba9e632d47a22217c"],"state_sha256":"d7a159bb99ae85fe083dddc1bffc0ddbeeff6eba74f99d6bbf877a1901e6c47a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBQBPjjmjYTmDAljN6V54pqp5UrttQ1d1oDvI4s7OYoN4NvDaBVJb51BMWZAzzBXuQiNTKwL9DADIWYslX5xCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:03:35.660737Z","bundle_sha256":"94ea25fd745798e4590f896c0b26db3ceb826dfcdc60c0816fe9e0b547519618"}}